Is this for real? Takeover bids do not seem at all likely. Moreover, Miss Wilson does not seem able to fend them off if they occur. On the other hand, he may just be speaking ironically. I prefer the second possibility but perhaps the cartoonist sees him as a Walter Mitty type.
This looks like a joke among professionals. To us it appears that the man presents no threat at all. The joke is probably to do with the relationship between appearance and reality.
Possibly this is a reference to menstruation. ‘Time of the month’ does rather suggest this. But consider the date: 1988. Would Punch even in its later days have wanted to mention this subject, albeit indirectly? It could just have meant that she periodically turned into werewolf. The full moon seen through the window does rather support the werewolf theory.
The dinosaurs are facing extinction with the coming of an ice age and are just playing in the snow. I am now wondering if awareness of our present danger was already understood forty years ago? Is it just chance that this joke appeared then?